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Finding the Fourth Proportional to 4,675.20, 7,045.04 and 3,871.60

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Solution

The fourth proportional to 4,675.20, 7,045.04 and 3,871.60 is: 5,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.20 : 7,045.04 = 3,871.60 : x
  2. Step 2: Convert to fraction form
    4,675.20/7,045.04 = 3,871.60/x
  3. Step 3: Cross multiply
    4,675.20x = 7,045.04 × 3,871.60
  4. Step 4: Simplify right side
    4,675.20x = 27,275,576.86
  5. Step 5: Solve for x
    x = 27,275,576.86/4,675.20
  6. Step 6: Final answer
    x = 5,834.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.